Title: Frame-independent spatial coordinate $\tilde{z}$ : Implications for light-front wave functions, deep inelastic scattering, light-front holography, and lattice QCD calculations

Abstract

A general procedure for obtaining frame-independent three-dimensional light-front coordinate-space wave functions is introduced. The third spatial coordinate $$\tilde{z}$$ is the boost and Lorentz frame-independent coordinate conjugate to the light-front momentum coordinate $x=\frac{k^{+}}{P^{+}}$ which appears in the momentum-space light-front wave functions underlying generalized parton distributions, structure functions, distribution amplitudes, form factors, and other hadronic observables. These causal light-front coordinate-space wave functions are used to derive a general expression for the quark distribution function of hadrons as an integral over the frame-independent longitudinal distance (the Ioffe time) between virtual-photon absorption and emission appearing in the forward virtual photon-hadron Compton scattering amplitude. Specific examples using models derived from light-front holographic QCD show that the spatial extent of the proton eigenfunction in the longitudinal direction can have a very large extent in $$\tilde{z}$$

Authors:

Miller, Gerald A. ;

• Search DOE PAGES for author "Miller, Gerald A."
• Search DOE PAGES for ORCID "0000-0003-2443-3639"

Brodsky, Stanley J.

• Search DOE PAGES for author "Brodsky, Stanley J."
• Search DOE PAGES for ORCID "0000-0001-8786-3172"

Publication Date:

Tue Aug 04 00:00:00 EDT 2020

Research Org.:

SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC)

OSTI Identifier:

1646690

Alternate Identifier(s):

OSTI ID: 1656564

Grant/Contract Number:  

FG02-97ER41014; AC02–76SF00515

Resource Type:

Published Article

Journal Name:

Physical Review. C

Additional Journal Information:

Journal Name: Physical Review. C Journal Volume: 102 Journal Issue: 2; Journal ID: ISSN 2469-9985

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Deep inelastic scattering; lattice QCD